Multiway methods regression

Methods for simultaneous Af-way regression can be based on the decomposition of the X array by multiway methods introduced in Section 5.2 (parallel factor analysis (PARAFAC) or Tucker models) and regressing the dependent variable on the components of those models. A drawback with this approach is that the separately estimated components are not necessarily predictive for Y. This caused the development of improved algorithms for multiway regression analysis of that kind. 

Gurden SP, Westerhuis JA, Bro R, Smilde AK, A comparison of multiway regression and scaling methods, Chemometrics and Intelligent Laboratory Systems, 2001, 59, 121-136. 

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